Math.PR: Probability

Scaling limits for planar aggregation with subcritical fluctuations

(Host local time)
Speaker: Amanda Turner (Lancaster) - Hosted by One World Probability

Abstract:
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Fast non mean-field network: uniform in time averaging

(Host local time)
Speaker: Michela Ottobre (Edinburgh) - Hosted by One World Probability

Abstract:
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All adapted topologies are equal

(Host local time)
Speaker: Mathias Beiglböck (Vienna) - Hosted by One World Probability

Abstract:
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Geometric stochastic PDEs

(Host local time)
Speaker: Martin Hairer (Imperial College London) - Hosted by UCLA

Abstract:
We review Parisi and Wu’s stochastic quantisation procedure and apply it to the non-linear sigma model as well as the Yang-Mills model. We then review a number of recent results on the resulting equations. In particular, this sheds some new light on an old controversy regarding the interpretation of path integrals. (...)

Introduction to regularity structures 1

(Host local time)
Speaker: Martin Hairer (Imperial College London) - Hosted by UCLA

Abstract:
In these two lectures, I will give an introduction to the main concepts behind the theory of regularity structures which allows to give meaning to many stochastic PDEs that were previously thought to be ill-posed. This combines some of the insights and tools from (perturbative) QFT with classical PDE theory. (...)

The scaling limit for directed polymers in an alpha-stable environment

(Host local time)
Speaker: Hubert Lacoin (Rio de Janairo and Marseille) - Hosted by One World Probability

Abstract:
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Integrable fluctuations in 1+1 dimensional random growth

(Host local time)
Speaker: Jeremy Quastel (Toronto) - Hosted by One World Probability

Abstract:
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Introduction to regularity structures 2

(Host local time)
Speaker: Martin Hairer (Imperial College London) - Hosted by UCLA

Abstract:
In these two lectures, I will give an introduction to the main concepts behind the theory of regularity structures which allows to give meaning to many stochastic PDEs that were previously thought to be ill-posed. This combines some of the insights and tools from (perturbative) QFT with classical PDE theory. (...)